Theorem dvd02 | index | src |

theorem dvd02 (a: nat): $ a || 0 $;
StepHypRefExpression
1 idvd
0 * a = 0 -> a || 0
2 mul01
0 * a = 0
3 1, 2 ax_mp
a || 0

Axiom use

axs_prop_calc (ax_1, ax_2, ax_3, ax_mp, itru), axs_pred_calc (ax_gen, ax_4, ax_5, ax_6, ax_7, ax_10, ax_11, ax_12), axs_peano (peano2, peano5, muleq, add0, mul0, mulS)